Ammann Tilings in Symplectic Geometry

dc.contributor.author	Battaglia, F.
dc.contributor.author	Prato, E.
dc.date.accessioned	2019-02-19T18:59:05Z
dc.date.available	2019-02-19T18:59:05Z
dc.date.issued	2013
dc.identifier.citation	Ammann Tilings in Symplectic Geometry / F. Battaglia, E. Prato // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 12 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53D20; 52C23
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.021
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149220
dc.description.abstract	In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that they are diffeomorphic but not symplectomorphic. These spaces inherit from the tiling its very interesting symmetries.	uk_UA
dc.description.sponsorship	We would like to thank Ron Lifshitz for his help on the theory of quasicrystals.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Ammann Tilings in Symplectic Geometry	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA